Evolution of scalar field resonances in a braneworld

Qin Tan; Yu-Peng Zhang; Wen-Di Guo; Jing Chen; Chun-Chun Zhu; Yu-Xiao Liu

doi:10.1140/epjc/s10052-022-11164-5

2022 Impact factor 4.4

Particles and Fields

Open Access

Eur. Phys. J. C (2023) 83: 84
https://doi.org/10.1140/epjc/s10052-022-11164-5

Regular Article - Theoretical Physics

Evolution of scalar field resonances in a braneworld

Qin Tan¹^,2, Yu-Peng Zhang¹^,2, Wen-Di Guo¹^,2, Jing Chen¹^,2, Chun-Chun Zhu¹^,2 and Yu-Xiao Liu¹^,2^f

¹ Key Laboratory of Theoretical Physics of Gansu Province, Lanzhou Center for Theoretical Physics, School of Physical Science and Technology, Lanzhou University, 730000, Lanzhou, China
² Institute of Theoretical Physics and Research Center of Gravitation, Lanzhou University, 730000, Lanzhou, China

^f liuyx@lzu.edu.cn

Received: 27 September 2022
Accepted: 23 December 2022
Published online: 28 January 2023

Abstract

In this work, we investigate the numerical evolution of massive Kaluza–Klein (KK) modes of a scalar field in a thick brane. We derive the Klein–Gordon equation in five-dimensional spacetime, and obtain the evolution equation and the Schrödinger-like equation. With the resonances of the scalar KK modes as the initial data, the scalar field is evolved with the maximally dissipative boundary condition. The results show that there are scalar KK resonant particles with long life on the brane, which indicates that these resonances might be regarded as a candidate for dark matter.

© The Author(s) 2023

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